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Finding the Third Proportional to 1,294,699.50 and 1,960,041.38

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Solution

The third proportional to 1,294,699.50 and 1,960,041.38 is: 2,967,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,699.50 : 1,960,041.38 = 1,960,041.38 : x
  2. Step 2: Convert to fraction form
    1,294,699.50/1,960,041.38 = 1,960,041.38/x
  3. Step 3: Cross multiply
    1,294,699.50x = 1,960,041.38 × 1,960,041.38
  4. Step 4: Simplify right side
    1,294,699.50x = 3,841,762,191,711.89
  5. Step 5: Solve for x
    x = 3,841,762,191,711.89/1,294,699.50
  6. Step 6: Final answer
    x = 2,967,300.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.